A brick has a mass of 4.0 kg and the Earth has a mass of 6.0 × 1027 g. Use this information to answer the questions below. Be sure your answers have the correct numb of significant digits.(a) What is the mass of 1 mole of bricks? Round your answer to 2 significant digits.(b) How many moles of bricks have a mass equal to the mass of the Earth? Round your answer to 2 significant digits.

Respuesta :

Answer:

a) [tex]2.4\times 10^{24} kg[/tex] is the mass of 1 mole of bricks.

b) [tex]2.5\times 10^3[/tex] moles of bricks have a mass equal to the mass of the Earth.

Explanation:

a) Mass of brick = 4.0 kg

1 mole = [tex]N_A=6.022\times 10^{23}[/tex] particles/ atoms/molecules

Mass of [tex]N_A[/tex] bricks :

[tex]=6.022\times 10^{23}\times 4.0 kg=2.4088\times 10^{24} kg\approx 2.4\times 10^{24} kg[/tex]

[tex]2.4\times 10^{24} kg[/tex] is the mass of 1 mole of bricks.

b)

Mass of the Earth = M = [tex]6.0\times 10^{27} kg[/tex]

Mass of 1 mole of brick = m=[tex]2.4\times 10^{24} kg[/tex]

Let the moles of brick with equal mass of the Earth be x.

[tex]m\times x=M[/tex]

[tex]x=\frac{M}{m}=\frac{6.0\times 10^{27}kg}{2.4\times 10^{24} kg}=2.5\times 10^3[/tex]

[tex]2.5\times 10^3[/tex] moles of bricks have a mass equal to the mass of the Earth.